Find the Domain y=3x^2+2x+1

Problem

y=3*x2+2*x+1

Solution

1. Identify the type of function. The given equation y=3*x2+2*x+1 is a polynomial function, specifically a quadratic.

2. Check for restrictions. Polynomial functions do not contain square roots of negative numbers, divisions by zero, or logarithms of non-positive numbers.

3. Determine the set of possible input values. Since there are no mathematical restrictions on the variable x the function is defined for all real numbers.

4. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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